The Variation Of Dieetric Constant And Dielectric Measurements

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3.3.3. Dielectric Measurements
The dielectric constant () and dielectric loss tangent (tan) were computed using the values of capacitance (C) measured with the help of LCR–Q meter in the frequency range of 20Hz to 2MHz. Figure 6 depicts the variation of dielectric constant with logarithm of frequency. It is observed from the figure that the dielectric constant decrease with increase in frequency. At lower frequency the dielectric constant shows maximum value whereas at high frequency it shows minimum value. Figure 6. Variation of dielectric constant as a function of frequency for Li0.5AlxFe2.5-xO4 (where x=0.0, 0.2, 0.4, 0.6, and 0.8) nano particles.
The compositional variation of dielectric constant (ε′) for frequencies 100Hz and 1MHz at room temperature …show more content…

In order to understand the conduction mechanism and the type of polarons responsible for conduction, the variation of AC conductivity as a function of applied frequency is presented in figure 8. Generally in the disordered solids, AC conductivity is directly proportional to the applied frequency. It is reported that the AC conductivity in large polaron hopping decreases with increase in frequency whereas in the small polaron hopping it increases with increasing frequency [30, 31]. Figure 8: Variation of AC conductivity as a function of frequency for Li0.5AlxFe2.5-xO4 (where x=0.0, 0.2, 0.4, 0.6, and 0.8) nano particles.
Austin and Mott [32] discussed the electrical conduction mechanism in terms of the electron and polaron hopping model. In the present case it is observed that the AC conductivity increases with increase in applied frequency. Hence, conduction is due to small polaron hopping. It is also observed from the figure 8 (inset) that, the AC conductivity increases with the increase of Al content and frequency.
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